Evaluate 35 3/5-6 6/10

$35 \frac{3}{5} - 6 \frac{6}{10}$

Convert $35 \frac{3}{5}$ to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

$35 + \frac{3}{5} - 6 \frac{6}{10}$

Add $35$ and $\frac{3}{5}$ .

To write $35$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$35 \cdot \frac{5}{5} + \frac{3}{5} - 6 \frac{6}{10}$

Combine $35$ and $\frac{5}{5}$ .

$\frac{35 \cdot 5}{5} + \frac{3}{5} - 6 \frac{6}{10}$

Combine the numerators over the common denominator.

$\frac{35 \cdot 5 + 3}{5} - 6 \frac{6}{10}$

Simplify the numerator.

Multiply $35$ by $5$ .

$\frac{175 + 3}{5} - 6 \frac{6}{10}$

Add $175$ and $3$ .

$\frac{178}{5} - 6 \frac{6}{10}$

Convert $6 \frac{6}{10}$ to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

$\frac{178}{5} - (6 + \frac{6}{10})$

Add $6$ and $\frac{6}{10}$ .

To write $6$ as a fraction with a common denominator, multiply by $\frac{10}{10}$ .

$\frac{178}{5} - (6 \cdot \frac{10}{10} + \frac{6}{10})$

Combine $6$ and $\frac{10}{10}$ .

$\frac{178}{5} - (\frac{6 \cdot 10}{10} + \frac{6}{10})$

Combine the numerators over the common denominator.

$\frac{178}{5} - \frac{6 \cdot 10 + 6}{10}$

Simplify the numerator.

Multiply $6$ by $10$ .

$\frac{178}{5} - \frac{60 + 6}{10}$

Add $60$ and $6$ .

$\frac{178}{5} - \frac{66}{10}$

Cancel the common factor of $66$ and $10$ .

Factor $2$ out of $66$ .

$\frac{178}{5} - \frac{2 (33)}{10}$

Cancel the common factors.

Factor $2$ out of $10$ .

$\frac{178}{5} - \frac{2 \cdot 33}{2 \cdot 5}$

Cancel the common factor.

$\frac{178}{5} - \frac{2 \cdot 33}{2 \cdot 5}$

Rewrite the expression.

$\frac{178}{5} - \frac{33}{5}$

Combine the numerators over the common denominator.

$\frac{178 - 33}{5}$

Simplify the expression.

Subtract $33$ from $178$ .

$\frac{145}{5}$

Divide $145$ by $5$ .

$29$

Evaluate 35 3/5-6 6/10

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